This is commonly known as the Culick's law, and it has been experimentally verified for a variety of Newtonian fluid films [1]}. In contrast to the linear rupture growth predicted by Culick for low-viscosity films, experiments on higher viscosity liquid curtains have observed a slowing down in rupture growth [2]}. Moreover, the rupture of extremely viscous bubbles (a million times more viscous than water) has been observed to grow exponentially [3]}, [4]}. Initially, viscoelastic effects were suggested as a cause of this exponential growth, but consequent theoretical work showed that high-viscosity films grow exponentially over a transient timescale directly proportional to fluid viscosity, before asymptotically achieving the Culick velocity [5]}. This prediction is thus quantitatively consistent with the experimental data for extremely viscous films [3]}, [4]}.
